Representations of the super Yangians of types \(A\) and \(C\). (English) Zbl 1537.17026
The author classifies the finite-dimensional irreducible representations of the super Yangian associated with the orthosymplectic Lie superalgebra \(\mathfrak{osp}(2|2n) \). The classification is given in terms of the highest weights and Drinfeld polynomials. The author includes also an R-matrix construction of the polynomial evaluation modules over the Yangian associated with the Lie superalgebra \(\mathfrak{gl}(m|n) \), as a super-version of the well-known construction for the \(\mathfrak{gl} (n) \) Yangian, which relies on the Schur-Sergeev duality.
Reviewer: Nenad Manojlović (Faro)
MSC:
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
References:
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